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Consider the binary threshold neuron in K = 3 dimensions, and the set of points {x} = {(1, 0, 0),(0, 1, 0),(0, 0, 1),(1, 1, 1)}. Find a parameter vector w such that the neuron memorizes the labels: (a) {t} = {1, 1, 1, 1}; (b) {t} = {1, 1, 0, 0}. Find an unrealizable labelling {t}.

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